{
  "id": "1706.03854",
  "version": "v1",
  "published": "2017-06-12T21:00:57.000Z",
  "updated": "2017-06-12T21:00:57.000Z",
  "title": "Tensor powers of rank 1 Drinfeld modules and periods",
  "authors": [
    "Nathan Green"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We study tensor powers of rank 1 sign-normalized Drinfeld A-modules, where A is the coordinate ring of an elliptic curve over a finite field. Using the theory of A-motives, we find explicit formulas for the A-action of these modules. Then, by developing the theory of vector-valued Anderson generating functions, we give formulas for the period lattice of the associated exponential function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-12T21:00:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G09"
    ],
    "keywords": [
      "drinfeld modules",
      "study tensor powers",
      "associated exponential function",
      "sign-normalized drinfeld a-modules",
      "period lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}